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We investigate the frame set of regular multivariate Gaussian Gabor frames using methods from Kahler geometry such as Hormander's $\dbar$-L2 estimate with singular weight, Demailly's Calabi--Yau metho...
An LG model (M, f) is given by a noncompact complex manifold M and the holomorphic function f defined on it, which is an important model in string theory. Because of the mirror symmetry conjecture, th...
The geometric considerations enter in a decisive way in many questions of harmonic analysis. For example, the estimation of the Fourier transform of surface-carried measure, which played a key role in...
The logarithmic Brunn-Minkowski inequality conjecture is one of the most intriguing challenges in convex geometry since 2012. Notably, this conjectured inequality is stronger than the celebrated Brunn...
The Ricci flow is a powerful tool in geometry to construct the canonical metric on a given manifold. It can be viewed as a nonlinear heat flow of the Riemannian metric and may develop finite time sing...
Spectral-sparse signals are those sparse in the Fourier domain and are very common in wireless communications, radar, sonar, medical imaging and other applications. Their recovery from noisy, limited ...
Shimura varieties are a class of algebraic geometric spaces that play a very important role in arithmetic geometry, especially in the Langlands program. In recent years, methods from the geometric rep...
The mod p points of a Shimura variety have a conjectural description called the Langlands-Rapoport conjecture. In accordance with the conjecture, Rapoport defined (generalized) affine Deligne-Lusztig ...
An object that’s intrinsically flat, say a piece of paper, can be shaped into a cylinder without stretching or tearing it. The same isn’t true, however, for something intrinsically curved like a conta...
A scientist has revealed that an ancient clay tablet could be the oldest and most complete example of applied geometry. The surveyor's field plan from the Old Babylon period shows that ancient mathema...
Oregon State University research has revealed a crucial mechanism behind one of humankind's most deadly physiological processes: the movement of malignant cells from one part of the body to another.Pu...
近期,中国地质大学资源学院王生维教授团队在岩石力学领域著名期刊《Rock Mechanics and Rock Engineering》上发表题为《Geometry and Filling Features of Hydraulic Fractures in Coalbed Methane Reservoirs based on Subsurface Observations》的研究成果。该文通过...
近日,理学院楚天学子邹都副教授的学术论文《The Lp Minkowski problem for electrostatic p-capacity》被《Journal of Differential Geometry》正式接收,论文篇幅为42页。《Journal of Differential Geometry》的主编是国际数学领袖丘成桐教授,该期刊是微分几何领域最高级别的专业期刊。
近日,国际地球物理Nature Index期刊《Journal of Geophysical Research: Solid Earth》刊出了中国地质大学关于多孔介质二维和三维之间输运机理方面的最新研究成果:基于分形几何的二维截面分析确定毛细管压力曲线:多孔介质的二维和三维孔隙结构之间的桥梁(Capillary Pressure Curve Determination Based on a 2-...
A geometry is a measure of restraint over the allowed 0.5n(n-1) distances between a set of n points (e.g. the metric and topological spaces). So defined, geometries lead to associated algebra. The com...

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